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Finding the Fourth Proportional to 374,534.38, 516,857.44 and 204,768.50

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Solution

The fourth proportional to 374,534.38, 516,857.44 and 204,768.50 is: 282,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,534.38 : 516,857.44 = 204,768.50 : x
  2. Step 2: Convert to fraction form
    374,534.38/516,857.44 = 204,768.50/x
  3. Step 3: Cross multiply
    374,534.38x = 516,857.44 × 204,768.50
  4. Step 4: Simplify right side
    374,534.38x = 105,836,122,702.64
  5. Step 5: Solve for x
    x = 105,836,122,702.64/374,534.38
  6. Step 6: Final answer
    x = 282,580.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.